[test](mtmv) Fix regression test not stable and add log for debug (#48483) (#49234)

fe/fe-core/src/main/java/org/apache/doris/mtmv/MTMVPartitionUtil.java

@@ -325,6 +325,12 @@ public class MTMVPartitionUtil {
         for (String relatedPartitionName : relatedPartitionNames) {
             MTMVSnapshotIf relatedPartitionCurrentSnapshot = relatedTable
                     .getPartitionSnapshot(relatedPartitionName, context, Optional.empty());
+            if (LOG.isDebugEnabled()) {
+                LOG.debug(String.format("isSyncWithPartitions mvName is %s\n, mtmvPartitionName is %s\n, "
+                                + "mtmv refreshSnapshot is %s\n, relatedPartitionName is %s\n, "
+                                + "relatedPartitionCurrentSnapshot is %s", mtmv.getName(), mtmvPartitionName,
+                        mtmv.getRefreshSnapshot(), relatedPartitionName, relatedPartitionCurrentSnapshot));
+            }
             if (!mtmv.getRefreshSnapshot()
                     .equalsWithRelatedPartition(mtmvPartitionName, relatedPartitionName,
                             relatedPartitionCurrentSnapshot)) {

fe/fe-core/src/main/java/org/apache/doris/nereids/rules/exploration/mv/AbstractMaterializedViewRule.java

@@ -495,6 +495,17 @@ public abstract class AbstractMaterializedViewRule implements ExplorationRuleFac
             // if mv can not offer any partition for query, query rewrite bail out
             return null;
         }
+        if (LOG.isDebugEnabled()) {
+            LOG.debug(String.format("calcInvalidPartitions mv name is %s,\n mvValidBaseTablePartitionNameSet is %s,\n "
+                            + "mvValidHasDataRelatedBaseTableNameSet is %s,\n"
+                            + "queryUsedBaseTablePartitionNameSet is %s,\n "
+                            + "partitionMapping is %s \n, sql hash is %s",
+                    materializationContext.generateMaterializationIdentifier(),
+                    mvValidBaseTablePartitionNameSet,
+                    mvValidHasDataRelatedBaseTableNameSet,
+                    queryUsedBaseTablePartitionNameSet,
+                    partitionMapping, cascadesContext.getConnectContext().getSqlHash()));
+        }
         // Check when mv partition relates base table partition data change or delete partition
         Set<String> rewrittenPlanUsePartitionNameSet = new HashSet<>();
         List<Object> mvOlapScanList = rewrittenPlan.collectToList(node ->